8157185280 has 216 divisors, whose sum is σ = 28393085448. Its totient is φ = 2162147328.

The previous prime is 8157185273. The next prime is 8157185329. The reversal of 8157185280 is 825817518.

It can be written as a sum of positive squares in 4 ways, for example, as 2005606656 + 6151578624 = 44784^2 + 78432^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1990914 + ... + 1995006.

Almost surely, 2^8157185280 is an apocalyptic number.

8157185280 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8157185280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14196542724).

8157185280 is an abundant number, since it is smaller than the sum of its proper divisors (20235900168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8157185280 is a wasteful number, since it uses less digits than its factorization.

8157185280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4293 (or 4276 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 45.

The square root of 8157185280 is about 90317.1372442683. The cubic root of 8157185280 is about 2013.0139087512.

The spelling of 8157185280 in words is "eight billion, one hundred fifty-seven million, one hundred eighty-five thousand, two hundred eighty".